When is a quotient undefined

For instance, during the time when the negative numbers were not yet invented, the numerical expression 5 — 8 has no meaning. In our time, we can say that 5 — 8 is undefined in the set of positive integers. Square Root of Negative Numbers. The is undefined in the set of real numbers. This means that no real number exists that when multiply it by itself, the product is equal to Note, however, that some operations may be undefined under some sets , but defined in other sets. We know from high school mathematics that square root of — 1 equals i in the set of complex numbers.

Division by 0. Since we do not know the answer if a number divided by 0, let us examine the quotient of numbers when divided by numbers close to 0. How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero.

An expression in mathematics which does not have meaning and so which is not assigned an interpretation. For example, division by zero is undefined in the field of real numbers.

Broadly speaking, undefined means there is no possible value or there are infinite possible values , while indeterminate means there is no value given the current information.

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